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Finding the Fourth Proportional to 9,739.08, 14,594.76 and 7,537.50

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Solution

The fourth proportional to 9,739.08, 14,594.76 and 7,537.50 is: 11,295.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,739.08 : 14,594.76 = 7,537.50 : x
  2. Step 2: Convert to fraction form
    9,739.08/14,594.76 = 7,537.50/x
  3. Step 3: Cross multiply
    9,739.08x = 14,594.76 × 7,537.50
  4. Step 4: Simplify right side
    9,739.08x = 110,008,003.50
  5. Step 5: Solve for x
    x = 110,008,003.50/9,739.08
  6. Step 6: Final answer
    x = 11,295.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.